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Finding the Fourth Proportional to 458,465.32, 686,803.36 and 300,214.00

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Solution

The fourth proportional to 458,465.32, 686,803.36 and 300,214.00 is: 449,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,465.32 : 686,803.36 = 300,214.00 : x
  2. Step 2: Convert to fraction form
    458,465.32/686,803.36 = 300,214.00/x
  3. Step 3: Cross multiply
    458,465.32x = 686,803.36 × 300,214.00
  4. Step 4: Simplify right side
    458,465.32x = 206,187,985,283.91
  5. Step 5: Solve for x
    x = 206,187,985,283.91/458,465.32
  6. Step 6: Final answer
    x = 449,735.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.